Search a number
-
+
102212300313333 = 3272832792456911
BaseRepresentation
bin10111001111011000100111…
…110110100001001011110101
3111101220101210221122201112200
4113033120213312201023311
5101344121242340011313
61001215403232135113
730346411041424200
oct2717304766411365
9441811727581480
10102212300313333
112a627aa1948671
12b569518697499
13450576a13b5a2
141b3515d216937
15bc3b9aa13b73
hex5cf627da12f5

102212300313333 has 36 divisors (see below), whose sum is σ = 173813688030528. Its totient is φ = 57703329588240.

The previous prime is 102212300313307. The next prime is 102212300313349. The reversal of 102212300313333 is 333313003212201.

102212300313333 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 12 + 3 + 0 + 0 + 313 + 333 = 666.

It is not a de Polignac number, because 102212300313333 - 212 = 102212300309237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212300313297 and 102212300313306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212300313433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1396191853 + ... + 1396265058.

It is an arithmetic number, because the mean of its divisors is an integer number (4828158000848).

Almost surely, 2102212300313333 is an apocalyptic number.

It is an amenable number.

102212300313333 is a deficient number, since it is larger than the sum of its proper divisors (71601387717195).

102212300313333 is a wasteful number, since it uses less digits than its factorization.

102212300313333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792457014 (or 2792457004 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 102212300313333 its reverse (333313003212201), we get a palindrome (435525303525534).

The spelling of 102212300313333 in words is "one hundred two trillion, two hundred twelve billion, three hundred million, three hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 49 63 83 147 249 441 581 747 1743 4067 5229 12201 36603 2792456911 8377370733 19547198377 25132112199 58641595131 136830388639 175924785393 231773923613 410491165917 695321770839 1231473497751 1622417465291 2085965312517 4867252395873 11356922257037 14601757187619 34070766771111 102212300313333